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q-alg1997
On Cherednik-Macdonald-Mehta identities
Pavel Etingof, Alexander Kirillov
In this note we give a short proof of Cherednik's generalization of Macdonald-Mehta identities for the root system using the representation theory of quantum groups. Thes…
q-alg1997
Some Properties of Finite-Dimensional Semisimple Hopf Algebras
Pavel Etingof, Shlomo Gelaki
Kaplansky conjectured that if H is a finite-dimensional semisimple Hopf algebra over an algebraically closed field k of characteristic 0, then H is of Frobenius type (i.e. if V is…